EAN: 9783642213984

Bilder-Quelle: discount24.de - Sport-Freizeit

Random walks Markov chains and electrical networks serve as an introduction to the study of real-valued functions on finite or infinite graphs with appropriate interpretations using probability theory and current-voltage laws. The relation between this type of function theory and the (Newton) potential theory on the Euclidean spaces is well-established. The latter theory has been variously generalized one example being the axiomatic potential theory on locally compact spaces developed by Brelot with later ramifications from Bauer Constantinescu and Cornea. A network is a graph with edge-weights that need not be symmetric. This book presents an autonomous theory of harmonic functions and potentials defined on a finite or infinite network on the lines of axiomatic potential theory. Random walks and electrical networks are important sources for the advancement of the theory.

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03.07.2025 um 05:44 Uhr

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